Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248bc |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.9518226967481E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 2 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-714456,858435732] |
[a1,a2,a3,a4,a6] |
j |
-9846702923472312409/72065983807327122 |
j-invariant |
L |
7.1282506045392 |
L(r)(E,1)/r! |
Ω |
0.14850522093178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5406b2 129744bu2 |
Quadratic twists by: -4 -3 |